Atkin-Lehner |
2- 3- 5+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
121680dz |
Isogeny class |
Conductor |
121680 |
Conductor |
∏ cp |
64 |
Product of Tamagawa factors cp |
Δ |
8.4449850264E+22 |
Discriminant |
Eigenvalues |
2- 3- 5+ -4 0 13+ -6 -4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,0,0,-11036883,-1920823918] |
[a1,a2,a3,a4,a6] |
Generators |
[3913:121680:1] |
Generators of the group modulo torsion |
j |
10316097499609/5859375000 |
j-invariant |
L |
3.9339291905919 |
L(r)(E,1)/r! |
Ω |
0.089456881067086 |
Real period |
R |
2.7484814469042 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999998576971 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
15210n7 40560bv8 720j8 |
Quadratic twists by: -4 -3 13 |